2226540960 has 480 divisors, whose sum is σ = 9106618752. Its totient is φ = 503884800.

The previous prime is 2226540947. The next prime is 2226541001. The reversal of 2226540960 is 690456222.

2226540960 is a `hidden beast` number, since 2 + 2 + 26 + 540 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22044910 + ... + 22045010.

Almost surely, 2^2226540960 is an apocalyptic number.

2226540960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2226540960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553309376).

2226540960 is an abundant number, since it is smaller than the sum of its proper divisors (6880077792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2226540960 is an frugal number, since it uses more digits than its factorization.

2226540960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2226540960 is about 47186.2369764744. The cubic root of 2226540960 is about 1305.8006976829.

The spelling of 2226540960 in words is "two billion, two hundred twenty-six million, five hundred forty thousand, nine hundred sixty".